Answer:
[tex]i^{12}=1[/tex]
Last option is correct.
Step-by-step explanation:
We have to simplify the expression [tex]i^{12}[/tex]
We can rewrite this expression using the properties [tex](a^m)^n=a^{mn}[/tex]
[tex](i^4)^{3}[/tex]
Now, we know that [tex]i^4=1[/tex]
Hence, we have
[tex](1)^{3}[/tex]
On simplifying, we get
[tex]1[/tex]
Thus, the simplified form is 1.
Last option is correct.
